Decimal to Fraction Calculator
Convert any decimal to a simplified fraction — instantly and free
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How to Convert Decimal to Fraction
Your current steps: 0.5 × 10/10 = 5/10 → GCD(5,10)=5 → 5÷5 / 10÷5 = 1/2
Common Decimal to Fraction Chart
| Decimal | Fraction | Simplified | Percent |
|---|---|---|---|
| 0.1 | 1/10 | 1/10 | 10% |
| 0.111... | ≈ 111/1000 | 1/9 | 11.11% |
| 0.125 | 125/1000 | 1/8 | 12.5% |
| 0.2 | 2/10 | 1/5 | 20% |
| 0.222... | ≈ 222/1000 | 2/9 | 22.22% |
| 0.25 | 25/100 | 1/4 | 25% |
| 0.3 | 3/10 | 3/10 | 30% |
| 0.333... | ≈ 333/1000 | ≈ 1/3 | 33.33% |
| 0.375 | 375/1000 | 3/8 | 37.5% |
| 0.4 | 4/10 | 2/5 | 40% |
| 0.5 | 5/10 | 1/2 | 50% |
| 0.6 | 6/10 | 3/5 | 60% |
| 0.625 | 625/1000 | 5/8 | 62.5% |
| 0.666... | ≈ 666/1000 | ≈ 2/3 | 66.67% |
| 0.6875 | 6875/10000 | 11/16 | 68.75% |
| 0.75 | 75/100 | 3/4 | 75% |
| 0.8 | 8/10 | 4/5 | 80% |
| 0.875 | 875/1000 | 7/8 | 87.5% |
| 0.9 | 9/10 | 9/10 | 90% |
Fractions in Sixteenths — Popular in Engineering
The 16ths series is commonly searched for machining, woodworking, and measurement conversions.
| Decimal | Fraction | Percent |
|---|---|---|
| 0.0625 | 1/16 | 6.25% |
| 0.125 | 2/16 = 1/8 | 12.5% |
| 0.1875 | 3/16 | 18.75% |
| 0.25 | 4/16 = 1/4 | 25% |
| 0.3125 | 5/16 | 31.25% |
| 0.375 | 6/16 = 3/8 | 37.5% |
| 0.4375 | 7/16 | 43.75% |
| 0.5 | 8/16 = 1/2 | 50% |
| 0.5625 | 9/16 | 56.25% |
| 0.625 | 10/16 = 5/8 | 62.5% |
| 0.6875 | 11/16 | 68.75% |
| 0.75 | 12/16 = 3/4 | 75% |
| 0.8125 | 13/16 | 81.25% |
| 0.875 | 14/16 = 7/8 | 87.5% |
| 0.9375 | 15/16 | 93.75% |
Frequently Asked Questions
What is 0.5 as a fraction?
0.5 as a fraction is 1/2. Write 0.5 as 5/10, then simplify: GCD(5,10)=5, so 5÷5 / 10÷5 = 1/2. In other words, 0.5 is exactly one half.
What is 0.75 as a fraction?
0.75 as a fraction is 3/4. Write as 75/100, GCD(75,100)=25, so 75÷25 / 100÷25 = 3/4. That's three-quarters, or 75%.
What is 0.625 as a fraction?
0.625 as a fraction is 5/8. Write as 625/1000, GCD(625,1000)=125, so 625÷125 / 1000÷125 = 5/8. This equals 62.5%.
What is 0.6875 as a fraction? (or "6875 as a fraction")
0.6875 as a fraction is 11/16. Write as 6875/10000, GCD(6875,10000)=625, so 6875÷625 / 10000÷625 = 11/16. This is 68.75%. In engineering and measurement contexts, 11/16 is a standard fractional inch value.
What is 0.3125 as a fraction? (or "3125 as a fraction")
0.3125 as a fraction is 5/16. Write as 3125/10000, GCD(3125,10000)=625, so 5/16. This equals 31.25%.
What is 0.333 as a fraction?
0.333 (not repeating) as a fraction is 333/1000. However, if you mean the repeating decimal 0.333… (1/3), that equals exactly 1/3. Since true 1/3 cannot be written as a finite decimal, entering 0.333 gives the closest finite approximation: 333/1000.
How do you simplify a fraction using GCD?
GCD (Greatest Common Divisor) is the largest number that divides both numerator and denominator evenly. Example: GCD(625,1000). Since 625=5⁴ and 1000=2³×5³, GCD=5³=125. Divide both: 625÷125=5 and 1000÷125=8. Result: 5/8. Our calculator does this automatically using the Euclidean algorithm.
What is a mixed number?
A mixed number combines a whole number with a proper fraction. For example, 1.75 = 7/4 as an improper fraction, but as a mixed number it's 1 3/4 (one and three-quarters). Mixed numbers are easier to read when the value is greater than 1. Our calculator shows the mixed number form in the stats panel.